10668136752 has 600 divisors, whose sum is σ = 40497956576. Its totient is φ = 2639609856.

The previous prime is 10668136697. The next prime is 10668136753. The reversal of 10668136752 is 25763186601.

It is a super-2 number, since 2×10668136752² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10668136698 and 10668136707.

It is not an unprimeable number, because it can be changed into a prime (10668136753) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 34083348 + ... + 34083660.

Almost surely, 2^10668136752 is an apocalyptic number.

10668136752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10668136752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20248978288).

10668136752 is an abundant number, since it is smaller than the sum of its proper divisors (29829819824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10668136752 is a wasteful number, since it uses less digits than its factorization.

10668136752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 10668136752 in words is "ten billion, six hundred sixty-eight million, one hundred thirty-six thousand, seven hundred fifty-two".